Question

May I please get help with this. I still can’t seem to figure out the correct answers for each of them after multiple tries

Answer 1

In this case, we have two similar figures, we can relate a side of the smaller figure to the corresponding similar side of the larger figure like this:

x1 = Sx2

Where x1 is the side of the small figure, x2 is the side of the large figure and S is a scale factor, from this expression we can solve for S to get:

S = x1/x2

Then, by dividing the length of a side of the large figure by the length of the corresponding side from the small figure, we should get the scale factor. By taking the bases of the two figures, we get:

S = 7/4.9 = 10/7

By replacing 10/7 for S in the first equation we get:

x1 = (10/7)x2

By solving for x2 we get:

`\begin{gathered} x1=(x2)/((10)/(7)) \\ x1=(7)/(10)x2 \end{gathered}`

By replacing x for x1 and 3 for x2, we get the length of x, like this:

`x=(7)/(10)(3)=2.1`

Then, x = 2.1